f(x) = 2x 3 + 3x 2 8x + 3 a. Show that f(x) = (2x

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f(x) = 2x3 + 3x2 – 8x + 3

a. Show that f(x) = (2x – 1)(ax2 + bx + c) where a, b and c are constants to be found.

b. Hence factorise f(x) completely.

c. Write down all the real roots of the equation f(x) = 0.

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